Arithmatical - Problems on Trains
DIRECTIONS : Problems based on Trains.
6. |
A train 220 m long is running with a speed of 59 kmph. In what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the train is going? |
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A. 10 sec. |
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B. 12 sec. |
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C. 14 sec. |
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D. 16 sec. |
Solution |
Speed of the train | = (59 + 7) Kmph |
= (66 x 5/18) m/sec |
= (55 / 3 )m/sec |
Time taken by it cover 220 m | = (220 x 3 /55)sec |
= 12 sec |
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7. |
Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet ? |
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A. 9 a.m |
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B. 10 a.m |
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C. 10-30 a.m |
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D. 11 a.m |
Solution |
Distance covered by A in x hours | = 20 x km |
Distance covered by B in (x - 1) hours | = 25 (x - 1) km |
= 20x + 25 (x - I) |
= 110 |
= 45x = 135 |
x = 3. So, they meet at 10 a.m |
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8. |
A train 108 m long moving at a speed of 50 km / hr crosses a train 112 m long coming from opposite direction in 6 seconds. The speed of the second train is |
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A. 48km/hr |
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B. 54 km/hr |
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C. 66km/hr |
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D. 82km/hr |
Solution |
Relative speed | = (x + 50) km/ hr |
=(x + 50) x 5/18 m/sec |
= 250 + 5 x /18]m/sec |
Distance covered | = (108 + 112) m |
= 220 m |
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= 220 / (250 + 5x / 18) = 6 |
= 250 + 5 x= 660 |
= 82 km/hr. |
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9. |
How long does a train 110 metres long running at the speed of 72 km / hr take to cross a bridge 132 metres in length? |
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A. 9.8 sec |
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B. 12.1 sec |
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C. 12.42 sec |
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D. 14.3 sec |
Solution |
Speed | = (72 x 5/18 )m/sec |
= 20 m/ sec |
Total Distance covered | = (110 + 132) m |
= 242 m |
Required time | = (242 / 60) sec |
= 12.1 sec |
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10. |
In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hr? |
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A. 2.5 sec |
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B. 4.25 Sec |
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C. 5 sec |
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D. 12.5 sec |
Solution |
Speed | = (144 x 5 /18) m/sec |
= 40 m / sec |
Time taken | = (100 /40) sec |
= 2.5 sec. |
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